Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation

Elia Bisi, Nikos Zygouras

We study the combinatorial structure of the irreducible characters of the classical groups ${\mathrm{GL}}_n(\mathbb{C})$, ${\mathrm{SO}}_{2n+1}(\mathbb{C})$, ${\mathrm{Sp}}_{2n}(\mathbb{C})$, ${\…